Draw the graph of the function `y=f(x)=lim_(ntooo) cos^(2n)x` and find its period.

Explanation

`f(x)=underset(ntooo)lim(cos^(2)x)^(n)`
`={{:(0", "0lecos^(2)xlt1),(1", "cos^(2)x=1):}`
`={{:(0", "xnenpi" "n in1),(1", "x=npi" "n in1):}`
Hence the graph of the function is as follows.